2213434413333 has 48 divisors (see below), whose sum is σ = 3790591284480. Its totient is φ = 1226924496000.

The previous prime is 2213434413299. The next prime is 2213434413341. The reversal of 2213434413333 is 3333144343122.

2213434413333 is a `hidden beast` number, since 2 + 213 + 434 + 4 + 1 + 3 + 3 + 3 + 3 = 666.

It is not a de Polignac number, because 2213434413333 - 2¹⁰ = 2213434412309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213434413373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7748893 + ... + 8029458.

It is an arithmetic number, because the mean of its divisors is an integer number (78970651760).

Almost surely, 2^{2213434413333} is an apocalyptic number.

It is an amenable number.

2213434413333 is a deficient number, since it is larger than the sum of its proper divisors (1577156871147).

2213434413333 is a wasteful number, since it uses less digits than its factorization.

2213434413333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15778490 (or 15778487 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

Adding to 2213434413333 its reverse (3333144343122), we get a palindrome (5546578756455).

The spelling of 2213434413333 in words is "two trillion, two hundred thirteen billion, four hundred thirty-four million, four hundred thirteen thousand, three hundred thirty-three".